Gambarlah grafik fungsi kuadrat

$a. : y = { x }^{2} + 5x + 6 \b. : y = - {x}^{2} + 2x + 3$

Gambarlah grafik fungsi kuadrat

Penjelasan dengan langkah-langkah:

$a. : : y=x ^ { 2 } +5x+6 \ x^{2}+5x+6=y \ x^{2}+5x=y-6 \ x^{2}+5x+left(frac{5}{2}right)^{2} = y - 6(frac{5}{2}right)^{2} \ x^{2}+5x+frac{25}{4}=y-6+frac{25}{4} \ left(x+frac{5}{2}right)^{2}=y+frac{1}{4} \ sqrt{left(x+frac{5}{2}right)^{2}}=sqrt{y+frac{1}{4}} \ x+frac{5}{2}=frac{sqrt{4y+1}}{2} \ x+frac{5}{2}=-frac{sqrt{4y+1}}{2} \ x=frac{sqrt{4y+1}-5}{2} \ x=frac{-sqrt{4y+1}-5}{2}$

$b. : y=x ^ { 2 } +2x+3 \ x^{2}+2x+3=y \ x^{2}+2x=y-3 \ x^{2}+2x+1^{2}=y-3+1^{2} \ x^{2}+2x+1=y-3+1 \ x^{2}+2x+1=y-2 \ left(x+1right)^{2}=y-2 \ sqrt{left(x+1right)^{2}}=sqrt{y-2} \ x+1=sqrt{y-2} \ x+1=-sqrt{y-2} x=sqrt{y-2}-1 \ x=-sqrt{y-2}-1$

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